数值方程

With the nonlinear Schrdinger equation and split-step Fourier transform method, evolution of spectrum and pulse profile of quasi-continuous pump is numerically simulated, and the nonlinear mechanism for supercontinnum generation is analyzed.

利用分步傅里叶方法求解非线性薛定谔方程，数值模拟了准连续光在光子晶体光纤中传输时光谱和脉冲的演化，并分析了其非线性机理和光谱展宽机制。

This paper deals with the numerical solution of the Euler equation for airfoils using approximate boundary conditions and the effects dorsal fin on vortex over delta wing at high angles of attack.

本文研究了Euler方程的高效数值方法及背鳍对三角翼大迎角脱体涡的影响问题。

The RANS governing equation and RNG κ-ε turbulence model were used, and the flow fields at different relative positions between blade and volute tongue in a centrifugal pump were simulated by using finite volume method, under the hypothesis of steady flow.

本文选择RANS方程和RNGk-ε湍流模型，采用有限体积法，在假定流动定常的前提下对离心泵中叶片与蜗舌不同相对位置时的流场进行数值模拟，总结分析了各性能参数的计算误差在不同的相对位置时的变化规律。

Moldeling and simulation of bubble motion caused by ultrasound using MATLAB The model to describe bubble dynamic motion caused by ultrasound was presented, which included the effects of fluid viscosity, surface tension and vapor pressure of the solvent.

超声空化气泡运动过程模拟及模型的求解建立了超声作用于均相液体中空化泡运动的动力学模型，模型中考虑了液相的动力粘度、表面张力和溶剂的蒸汽压对空化泡运动特性的影响，用MATLAB对建立的普遍化的模型方程进行了数值求解和过程模拟。

Based on numerical difference between the first order and high order Mueller matrix solutions, an iterative method for inversion of surface moisture and fraction per unit area of random small spheroids from polarimetric backscattering measurement is developed.

中文摘要：根据一层随机非球形粒子矢量辐射传输方程的一阶与高阶Mueller矩阵解的数值模拟及其差异，提出了在一些参数已知的条件下，用水平与垂直同极化和交叉极化的后向散射测量反演植被覆盖下地表湿度和植被散射元单位面积占空比的迭代方法。

By means of the'material time derivative'relation of strain rate and strain, and the coordinates mapping in deformation zone, the different equations for solving strain and a subsequent recurrent solution are formulated.

第三，在Orowan轧制平衡方程的基础上，考虑温度，应变以及应变速率对材料流动应力的影响，改进了求解单位轧制压力的解析求解模型，采用数值积分的方法得到了能够反映温度变化和加工硬化等影响的轧制力的计算方法。

In chapter 5, we present the third-order finite volume method for the Shallow Water Equations on unstructured meshes.

第五章利用最小二乘思想，通过一次扩张模板来提高数值方法的精度，发展了在非结构网格上解二维浅水波方程的高精度有限体积法。

Variation laws of the film thickness with rotor angle, angle of swash plate, pocket pressure and pressing force were obtained. The differential equations of the variation of the film thickness were established, hence the dynamic law of the film thickness in one period was further obtained.

通过数值计算，得到了排油区滑靴油膜厚度与转子转角、斜盘倾角、油池压力、柱塞压紧力之间的变化规律，建立油膜厚度变化的微分方程，给出在吸、排油一个周期内，滑靴油膜厚度的动态变化规律。

A numerical model for finite volume method is developed for two-dimensional shallow-water flow with complicated geometry and topography.

应用迎风有限体积法，对具有复杂地形的二维浅水方程进行数值模拟。

The scale and strength of passage vortex is also simulated in the flow filed incascade with straight and positively curved blade by using total 3D N-S solver.The results indicate that the passage vortex which is the main part of thesecondary flow can be limited in small-scale steady shape by using curved blade.

借助于全三维N-S方程的求解程序，对直叶片和弯叶片两种流场中的通道涡的尺度和强度进行了数值模拟，模拟结果表明，采用弯叶片可使对二次流起主要作用的通道涡限定在尺度较小的稳定形式上。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。